What is the answer to -6|3x+4|+7=5 ?

The answer to -6|3x+4|+7=5 is x=-13/9 \lor x=-11/9

Solve for x: -6|3x+4|+7=5

The solution is x=-13/9 \lor x=-11/9

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- 6 ∣ 3 x + 4 ∣ + 7 = 5

x = - \frac{13}{9} or x = - \frac{11}{9}

Solution steps

- 6 ∣ 3 x + 4 ∣ + 7 = 5

Move

7

to the right side

- 6 ∣ 3 x + 4 ∣ = - 2

Divide both sides by

- 6

∣ 3 x + 4 ∣ = \frac{1}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 4 = - \frac{1}{3} or 3 x + 4 = \frac{1}{3}

3 x + 4 = - \frac{1}{3} or 3 x + 4 = \frac{1}{3}

x = - \frac{13}{9} or x = - \frac{11}{9}

∣ x ∣ + 1 = 2

∣ x ∣ + 1 = 1

x^{2} - 1 ∣ - x ∣ = x

ln ∣ y ∣ = - x + 9

8 + 2 ∣ 8 x ∣ = 8

What is the answer to -6|3x+4|+7=5 ?
The answer to -6|3x+4|+7=5 is x=-13/9 \lor x=-11/9
Solve for x: -6|3x+4|+7=5
The solution is x=-13/9 \lor x=-11/9